What is the solution for (dy)/(dx)=e^{4x}+5y ?

The solution for (dy)/(dx)=e^{4x}+5y is y=-e^{4x}+c_{1}e^{5x}

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(dy)/(dx)=e^{4x}+5y

\frac{d y}{d x} = e^{4 x} + 5 y

y = - e^{4 x} + c_{1} e^{5 x}

Solution steps

\frac{d y}{d x} = e^{4 x} + 5 y

Solve linear ODE:

y = - e^{4 x} + c_{1} e^{5 x}

y = - e^{4 x} + c_{1} e^{5 x}

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\frac{d}{d x} (2 sin (x))

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tan (sec (x))

What is the solution for (dy)/(dx)=e^{4x}+5y ?
The solution for (dy)/(dx)=e^{4x}+5y is y=-e^{4x}+c_{1}e^{5x}